Kropki'd calcudoku #1
(Published on 12. May 2022, 00:37 by Nylimb)
This is a variant of a calcudoku (also known as KenKen or TomTom) puzzle, in which the values of cages are not shown. Only the kropki relationships between them are given.
Fill the grid with digits from 1 to 9, so that every row and column contains each digit exactly once.
Each cage indicated by the thick lines shows an arithmetic operation, either +, –, x, or /. The 'value' of the cage is obtained by applying the operation to the digits in the cage. For subtraction and division cages, which in this puzzle have exactly 2 cells, the value is A–B or A/B where A is the larger digit and B is the smaller digit in the cage.
Digits may repeat within a cage.
All cage values, including those of division cages, are positive integers.
A white dot between 2 orthogonally adjacent cages means that the cage values differ by 1. A black dot means that the cage values are in a 1 to 2 ratio. All possible dots are shown.
The location of a dot along the boundary between 2 cages is irrelevant. No relation is implied between the digits in the cells that touch the dot.
The puzzle is available on Penpa.
Solution code: Row 5 and row 6.
Comments
on 29. November 2022, 01:11 by Mark Sweep
Wow, what a journey that was. You do have to enjoy whittling away though. The antisymmetry is beautiful as well!
@Mark Sweep: I'm glad you liked it. I do wish I could have made it a bit easier, but just making a uniquely solvable puzzle with the antisymmetry condition took me many tries. (I think there were some minor variations that also had unique solutions, but they were even harder to solve.)
on 15. June 2022, 23:32 by Vebby
Quite tricky; 4.5/5 difficulty for me. Some of the logic was very interesting. Thanks Nylimb! It's been a pleasure solving your puzzles! :)
@Vebby: I'm glad you liked them. Thanks for solving all of them!
on 13. June 2022, 00:09 by Nylimb
Added '#1' to name.
on 12. May 2022, 10:54 by RJBlarmo
Very nice, stayed quite hard throughout the entire solve.
on 12. May 2022, 00:38 by Nylimb
Clarified rules.
